Spin Hall Effect and Spin Transfer in Disordered Rashba Model

Abstract

Based on numerical study of the Rashba model, we show that the spin Hall conductance remains finite in the presence of disorder up to a characteristic length scale, beyond which it vanishes exponentially with the system size. We further perform a Laughlin's gauge experiment numerically and find that all energy levels cannot cross each other during an adiabatic insertion of the flux in accordance with the general level-repulsion rule. It results in zero spin transfer between two edges of the sample as each state always evolves back after the insertion of one flux quantum, in contrast to the quantum Hall effect. It implies that the topological spin Hall effect vanishes with the turn-on of disorder.

4 pages, 4 figures final version

References in corpus (24)

• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Suppression of the Persistent Spin Hall Current by Defect Scattering
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Semiclassical theory of spin transport in spin-orbit coupled systems
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Spin Hall effect and Berry phase in two dimensional electron gas
• Spin-Hall Effect in Two-Dimensional Electron Systems with Rashba Spin-Orbit Coupling and Disorder
• Manifestation of the spin-Hall effect through transport measurements in the mesoscopic regime
• Dissipation effects in spin-Hall transport of electrons and holes
• Mesoscopic Spin Hall Effect in Multiprobe Ballistic Spin-Orbit Coupled Semiconductor Bridges
• Sum rules for spin-Hall conductivity cancelation
• Disappearance of integer quantum Hall effect
• Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
• Phase Diagram for Quantum Hall Bilayers at $\nu =1$
• Conductance fluctuations at the integer quantum Hall plateau transition
• Non-vanishing spin Hall currents in disordered spin-orbit coupling systems
• Spin Current in Spin-Orbit Coupling Systems
• Numerical Study of the Spin Hall Conductance in the Luttinger Model
• A topological characterization of delocalization in a spin-orbit coupling system

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• Small-angle impurity scattering and the spin Hall conductivity in 2D systems
• Spin Hall effect of conserved current: Conditions for a nonzero spin Hall current
• Spin-Hall effect: Back to the Beginning on a Higher Level
• Anderson localization and topological transition in Chern insulators
• Theory of electric-field-induced spin accumulation and spin current in the two-dimensional Rashba model
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• Intrinsic spin Hall effect in systems with striped spin-orbit coupling
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• Global and Local Topological Quantized Responses from Geometry, Light and Time
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• Finite-size Effects in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interaction
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• Temperature-driven gapless topological insulator
• Dynamical spin Hall conductivity in a magnetic disordered system
• Non-equilibrium spin polarization effects in spin-orbit coupling system and contacting metallic leads
• Frequency- and transverse wave-vector-dependent spin Hall conductivity in two-dimensional electron gas with disorder
• `Spin-Spin' Hall Effect in Two-Dimensional Electron Systems with Spin-Orbit Interaction
• Four-Step Evolution of Spin-Hall Conductance: Tight-Binding Electrons with Rashba Coupling in a Magnetic Field
• Distribution of spectral-flow gaps in the Rashba model with disorder: a new universality
• Steady-state spin densities and currents
• Spin Hall conductivity of interacting two-dimensional electron systems
• Spin Hall Conductivity on the Anisotropic Triangular Lattice